10640823548544 has 384 divisors, whose sum is σ = 37131520305600. Its totient is φ = 2990392473600.

The previous prime is 10640823548519. The next prime is 10640823548561. The reversal of 10640823548544 is 44584532804601.

10640823548544 is a `hidden beast` number, since 1 + 0 + 6 + 40 + 8 + 2 + 3 + 54 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10640823548544² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9814939 + ... + 10845029.

Almost surely, 2^{10640823548544} is an apocalyptic number.

10640823548544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640823548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565760152800).

10640823548544 is an abundant number, since it is smaller than the sum of its proper divisors (26490696757056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10640823548544 is a wasteful number, since it uses less digits than its factorization.

10640823548544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030189 (or 1030164 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 10640823548544 in words is "ten trillion, six hundred forty billion, eight hundred twenty-three million, five hundred forty-eight thousand, five hundred forty-four".